ProjectEuler is renamed to project_euler
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project_euler/pe/p011.html
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project_euler/pe/p011.html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8" />
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<meta name="author" content="Colin Hughes" />
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<meta name="description" content="A website dedicated to the fascinating world of mathematics and programming" />
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<meta name="keywords" content="programming,mathematics,problems,puzzles" />
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<title>Problem 11 - Project Euler</title>
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<link rel="shortcut icon" href="http://projecteuler.net/favicon.ico" />
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<link rel="stylesheet" type="text/css" href="style_main.css" />
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<link rel="stylesheet" type="text/css" href="style_light.css" />
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<script type="text/x-mathjax-config">
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MathJax.Hub.Config({
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jax: ["input/TeX", "output/HTML-CSS"],
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tex2jax: {
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inlineMath: [ ["$","$"], ["\\(","\\)"] ],
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displayMath: [ ["$$","$$"], ["\\[","\\]"] ],
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processEscapes: true
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},
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"HTML-CSS": { availableFonts: ["TeX"] }
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});
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</script>
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<script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML">
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<ul>
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<li><a href="about" title="About" accesskey="h">About</a></li>
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<li><a href="register" title="Register" accesskey="1">Register</a></li>
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<li id="current"><a href="problems" title="Problems" accesskey="2">Problems</a></li>
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<li><a href="login" title="Login" accesskey="3">Login</a></li>
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</ul>
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</div>
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<div id="info_panel"><a href="rss2_euler.xml"><img src="images/icon_rss.png" alt="RSS Feed" title="RSS Feed" /></a><a href="secure=8007e"><img src="images/icon_lock.png" alt="Use secure connection" title="Use secure connection" /></a></div>
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<img src="images/pe_banner_light.png" alt="Project Euler .net" />
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</div>
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<div id="content">
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<div style="text-align:center;" class="print"><img src="images/pe_banner.png" alt="projecteuler.net" style="border:none;" /></div>
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<h2>Largest product in a grid</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 11</h3><span style="width:300px;color:#666;">Published on Friday, 22nd February 2002, 06:00 pm; Solved by 98778</span></div>
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<div class="problem_content" role="problem">
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<p>In the 20<img src='images/symbol_times.gif' width='9' height='9' alt='×' border='0' style='vertical-align:middle;' />20 grid below, four numbers along a diagonal line have been marked in red.</p>
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<p style="font-family:courier new;text-align:center;font-size:10pt;">
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08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08<br />
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49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00<br />
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81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65<br />
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52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91<br />
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22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80<br />
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24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50<br />
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32 98 81 28 64 23 67 10 <span style="color:#ff0000;"><b>26</b></span> 38 40 67 59 54 70 66 18 38 64 70<br />
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67 26 20 68 02 62 12 20 95 <span style="color:#ff0000;"><b>63</b></span> 94 39 63 08 40 91 66 49 94 21<br />
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24 55 58 05 66 73 99 26 97 17 <span style="color:#ff0000;"><b>78</b></span> 78 96 83 14 88 34 89 63 72<br />
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21 36 23 09 75 00 76 44 20 45 35 <span style="color:#ff0000;"><b>14</b></span> 00 61 33 97 34 31 33 95<br />
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78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92<br />
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16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57<br />
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86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58<br />
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19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40<br />
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04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66<br />
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88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69<br />
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04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36<br />
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20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16<br />
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20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54<br />
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01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48<br />
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</p>
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<p>The product of these numbers is 26 <img src='images/symbol_times.gif' width='9' height='9' alt='×' border='0' style='vertical-align:middle;' /> 63 <img src='images/symbol_times.gif' width='9' height='9' alt='×' border='0' style='vertical-align:middle;' /> 78 <img src='images/symbol_times.gif' width='9' height='9' alt='×' border='0' style='vertical-align:middle;' /> 14 = 1788696.</p>
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<p>What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20<img src='images/symbol_times.gif' width='9' height='9' alt='×' border='0' style='vertical-align:middle;' />20 grid?</p>
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</div><br />
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<br /></div>
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<a href="copyright">Project Euler Copyright Information</a>
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<div style="height:1px;"> </div></body>
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